What is wrong with this "proof"?"Theorem" For every positive integern, ifxandyare positive integers with max(x, y) =n,thenx=y.Basis Step: Suppose thatn= 1. If max(x, y) = 1 andxandyare positive integers, we havex= 1 andy= 1.Inductive Step: Letkbe a positive integer. Assume that whenever max(x, y) =kandxandyare positive integers, thenx=y. Now let max(x, y) =k+ 1, wherexandyare positiveintegers. Then max(x−1, y−1) =k, so by the inductive hypothesis,x−1 =y−1. Itfollows thatx=y, completing the inductive step.

Answers

Answer 1

Answer:

Every step is wrong in the proof theorem

Step-by-step explanation:

The inductive step :  whenever max(x, y) = k and x and y are positive integers, then x = y. is wrong because

If max (x,y ) = k + 1 then max ( x-1, y-1 ) = k

and by inductive hypothesis : x-1 = y-1 and x =y

example :

max ( 2, 3 ) = 3 where x = 2 , y =3

and x ≠ y hence the inductive step is wrong


Related Questions

the area of a rectangle with a whole number dimensions is 42 square meters.
The least possible perimeter of the rectangle is ___ meters
The greatest possible perimeter of the rectangle is ___ meters

Answers

Answer:

The least value of perimeter is:

[tex]Perimeter = 26m[/tex]

The greatest value is:

[tex]Perimeter = 86m[/tex]

Step-by-step explanation:

Given

Shape: Rectangle

[tex]Area = 42m^2[/tex]

Required

Determine the least and greatest possible Perimeters

Area is calculated as:

[tex]Length * Width = Area[/tex]

So; first, we need to determine the factors of the given Area;

[tex]Length * Width = Area[/tex]

[tex]1 * 42 = 42[/tex]

[tex]2 * 21 = 42[/tex]

[tex]3 * 14 = 42[/tex]

[tex]6 * 7 = 42[/tex]

Perimeter is then calculated as:

[tex]Perimeter = 2 * (Length + Width)[/tex]

When Area is:

[tex]1 * 42 = 42[/tex]

[tex]Perimeter = 2 * (1 + 42)[/tex]

[tex]Perimeter = 2 * 43[/tex]

[tex]Perimeter = 86m[/tex]

When Area is:

[tex]2 * 21 = 42[/tex]

[tex]Perimeter = 2 * (2 + 21)[/tex]

[tex]Perimeter = 2 * 23[/tex]

[tex]Perimeter = 46m[/tex]

When Area is:

[tex]3 * 14 = 42[/tex]

[tex]Perimeter = 2 * (3 + 14)[/tex]

[tex]Perimeter = 2 * 17[/tex]

[tex]Perimeter = 34[/tex]

When Area is:

[tex]6 * 7 = 42[/tex]

[tex]Perimeter = 2 * (6 + 7)[/tex]

[tex]Perimeter = 2 * 13[/tex]

[tex]Perimeter = 26m[/tex]

Comparing the above.

The least value of perimeter is:

[tex]Perimeter = 26m[/tex]

The greatest value is:

[tex]Perimeter = 86m[/tex]

GIVING OUT BRAINLIEST TO FIRST CORRECT ANSWER✅

Answers

Answer:

top right graph

Step-by-step explanation:

top right

Answer:

top right graph

Step-by-step explanation:


If you bought a hamburger for $2.30 and paid for it with a 5 dollar bill, how much change would you receive?

Answers

you would get $3.70
$2.70 is what you would receive. 2.70+2.30=5.00

Is -0.25 irrational or rational

Answers

Answer: Irrational

Step-by-step explanation:

-0.25 is irrational because it can be written as a terminating decimal.

Answer:

irrational

Step-by-step explanation:

What is 938,492,948,934,895*929,038,292,839,283,892,948,394,839

Answers

Answer:

8.7189589e+41

Step-by-step explanation:

Calculator

Answer:

i do not understand the question

explain

Step-by-step explanation:


Rename 8/9 and 7/18 using the least common denominator.

Answers

Answer:

LCD = 18

8/9 = 16/18

7/18 = 7/18

Step-by-step explanation:

This is the answer because:

1) First, the least common denominator is 18 because 9 x 2 is 18 and 18 x 1 is 18

2) Next, multiply the numerators with the same number you multiplied with the denominator  

8 x 2 = 16  

7 x 1 = 7  

3) Therefore, the answers are:

8/9 = 16/18

7/18 = 7/18  

Hope this helps!

I need the answer plzz

Answers

Answer:

25

Step-by-step explanation:

h hff DJ function schmitz ojos s la plz PC

Which of the following is an irrational number?
5/4
3 1/7
12
0.59

Answers

Answer:

3 1/7....................

Answer:

5/4 yukhjfuihjuihjghokhghhjfigfytiht

ihguydrseikjkvcyu

I will take a picture of the question.​

Answers

Answer:

She misinterpreted the 4 and 0 in both of their batting averages.

Find the Measure of the missing angles.
3
2
49°
118°
1
73°
Measure angle 1 =
o
Measure angle 2=
o
Measure angle 3=

Answers

Answer:

m∠1 = 62°

m∠2 = 45°

m∠3 = 24°

Step-by-step explanation:

The measure of the exterior angle of a triangle is equal to the sum of the remote interior angles.

The measure of angles ∠1, ∠2 and ∠3 are 62°, 45° and 24° respectively.

From the given figure, measure of angles are 118°, 73° and 49°.

What is exterior angle theorem?

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

From the given figure, 118° + ∠1 = 180°

⇒ ∠1 = 180° - 118°

⇒ ∠1 = 62°

Now, 118° = 73° + ∠2

⇒ ∠2 = 118° - 73°

⇒ ∠2 = 45°

Using angle sum property of a triangle

62° + 49° + (∠2+∠3) = 180°

⇒ 111° + (∠2+∠3) = 180°

⇒ (∠2+∠3) = 180°- 111°

⇒ (∠2+∠3) = 69°

⇒ 45° +∠3 = 69°

⇒ ∠3 = 24°

Therefore, the measure of angles ∠1, ∠2 and ∠3 are 62°, 45° and 24° respectively.

To learn more about the exterior angle theorem visit:

https://brainly.com/question/2995226.

#SPJ2

If p = .3 within a binomial process, what is the probability of obtaining exactly five successes in 20 trials?

a. 5%
b. 17.9%
c. 30%
d. 80.1%

Answers

The answer to this is C

The school store sells pencils at 24 for $3.00. Compute both unit rates and explain what each means.​

Answers

Answer:

For $1.00 you can get 8 pencils

Step-by-step explanation: 24/3= 8

Can you give me Brainliest?

24 divided by 3 =8
3 divided by 3 =1

So for $1 you can buys 8 pencils

8x + 5y = 35 solve for y

Answers

Answer:

y = -8/5x + 7

Step-by-step explanation:

Step 1: Write equation

8x + 5y = 35

Step 2: Solve for y

Subtract 8x on both sides: 5y = 35 - 8xDivide both sides by 5: y = 7 - 8/5xRewrite: y = -8/5x + 7

What is 400,000 rounded to the nearest ten thousand

Answers

It’s I’m pretty sure 400,000

Answer:

400, 000 is rounded to the nearest ten thousand

Step-by-step explanation:

There is nothing to round

Dane's credit card has an APR of 16%, calculated on the previous monthly
balance. His credit card record for the last 7 months is shown in the table
below.

Answers

The Answer is: $283.31

Find the sum. 60 (3n - 4) n=1 The sum is​

Answers

The sum is n=15 jdjfnfjfmfjf

Answer:

-60

Step-by-step explanation:

3x1=3

3-4=-1

60 x -1 = -60

True or false in order of operations Wyndham motivations and division Multiplication always comes first

Answers

Answer:

True but are you talking about first of everything or before something else because if it's the first of everything the answer is false.

1.7(k - 0.3) = 6.7k = 32.01

Answers

Error: Cannot parse
1.7(k - 0.3) = 6.7k = 32.01
Your input has more than one equals sign.
Learn from the examples how to solve a system of equations.

Each batch of Blueberry Breakfast Treats will make 12 muffins. Mrs. Penney wants to make enough muffins for each of the 35 students in her math club and herself to have one.

Blueberry Breakfast Treats
Number of Batches
1
2
3
4
Cups of Blueberries
Three-fourths
--
--
--

On a coordinate plane, a graph titled Blueberry Breakfast Treats has batches on the x-axis and Blueberries on the y-axis. Points A is (2, 1.5), point B is (2.6, 2.25), point C is (3, 2.25), point D is (4, 3).

If she does not want any leftovers, which point should Mrs. Penney use to determine the amount of blueberries she will need to make her muffins?
A
B
C
D
Mark this and return

Answers

Answer:

Step-by-step explanation:

it b

;)))))))))))))))))))))))))))))))))))))))))))))))

Answers

Answer:

;)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

Step-by-step explanation:

yes yes do the ;))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

What is the absolute value of |-18|

Answers

Answer:

18

Step-by-step explanation:

How can you describe two numbers that add to zero?​

Answers

Any two numbers who some is zero for example 3 and -3 because 3+(-3)=0

Answer:

I think it its 0 its called the additive identity because when you add it to a number, the result you get is the same number.

Step-by-step explanation:

For example, 5 + 0 = 5 Any two numbers whose sum is zero, such as 3 and -4, because 3 + (-3) = 0.

I need help fast

2/3 ÷ 4/5

(◍•ᴗ•◍)

Answers

Answer:

5/6 because my friend owns a calculator that does fraction.

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{4}{5}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{5}{4}[/tex]  2/3 × 5/4 = 10/12Simplify: 10/12 = 5/6

I hope this helps!

First choice car charged $65 per day and 0.06 per mile. Best rent a car charges $48 per day and .10 per mile. How many miles must be driven in one day to make the costs equal

Answers

Answer:

425 miles

Step-by-step explanation:

65+.06m=48+.1m

65=48+.04m

17=.04m

425=m

Four times the sum of a number and -3 is 4 more than twice the number. Which equation below can be used to find the number
4(x - 3) = 2x + 4
3(x - 4) = 4 + 2x
4x - 3 = 2x +4
4x + -3 = 4 + 2x

Answers

Answer:

use bodmas and solve this

A. Describe how each student might have reached his or her conclusion. Is each student’s conclusion valid? Explain.

Answers

Answer:  Conclusion validity is the degree to which conclusions we reach about relationships in our data are reasonable.

Step-by-step explanation:

Not sure what it is, does anyone know?

Answers

Answer:

110 degrees

Step-by-step explanation:

it is 110 degrees because on a line comebinedt is 180 degrees. And you already ahve one side which is 70 degrees. So 180 minus 70 is 110 degrees.

Answer:

m5 would be 110 degrees

Step-by-step explanation:

so basically all you have to do for that problem is subtract 70 from 180

which is the best estimate for the number of times the coin will land up 10 20 50 80 100 ​

Answers

The answer is 50 hopefully this helps

which is >greater =equal or <less than??
√7__3​

Answers

Answer:

the answer should be < .

!!!URGENT!!!

In order to ride a roller coaster, a person must be at a minimum height of 54 inches. The maximum height is 74 inches. Write an absolute value equation that represents the minimum and maximum heights.

The photo attached shows the possible answers.

Answers

Answer:

C

Step-by-step explanation:

Two equations and workout the answer

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